Can you do this question without excel?

Consider two different machines A and B that could be used at a station. Machine A has a mean effective process time te of $1\mathrm{.}0$ hours and an SCV ce$^2$ of $0\mathrm{.}25.$ Machine B has a mean effective process time of $0\mathrm{.}85$ hour and an SCV of four.

a$.$ For an arrival rate of $0\mathrm{.}92$ job per hour with ca$^2=1,$ which machine will have a shorter average cycle time?

b$.$ Now put two machines of type A at the station and double the arrival rate $($i$.$e$.,$ double the capacity and the throughput$).$ What happens to cycle time? Do the same for machine B$.$ Which type of machine produces shorter average cycle time?

c$.$ With only one machine at each station, let the arrival rate be $0\mathrm{.}95$ job per hour with ca$^2=1.$ Recompute the average time spent at the stations for both machine A and machine B$.$ Compare with a and explain the difference in results.

d$.$ Consider the station with one machine of type A$.$

i$.$ Let the arrival rate be one$-$half. What is the average time spent at the station? What happens to the average time spent at the station if the arrival rate is increased by one percent $($i$.$e$.,$ to $0\mathrm{.}505)?$ What percentage increase in wait time does this represent?

ii$.$ Let the arrival rate be $0\mathrm{.}95.$ What is the average time spent at the station? What happens to the average time spent at the station if the arrival rate is increased by one percent $($i$.$e$.,$ to $0\mathrm{.}9595)?$ What percentage increase in wait time does this represent?